en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-1 to 3 of e^x-3

Solution

\int_{- 1}^{3} e^{x} - 3 d x

Solution

e^{3} - \frac{1}{e} - 12

+1

Decimal

7.71765 \dots

Solution steps

\int_{- 1}^{3} e^{x} - 3 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{3} e^{x} d x - \int_{- 1}^{3} 3 d x

\int_{- 1}^{3} e^{x} d x = e^{3} - \frac{1}{e}

\int_{- 1}^{3} 3 d x = 12

= e^{3} - \frac{1}{e} - 12

Graph

Popular Examples

integral from 0 to 1 of (1-e^2)^{1/2}

integral from 0 to 2 of (1/(1+x^2))^2

integral from-pi to pi of (sin(x))^2

integral from 0 to 1 of sqrt(1+2t^2+t^4)

integral from e to e^2 of (ln(x))^2(1/x)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of e^x-3 ?
The integral from-1 to 3 of e^x-3 is e^3-1/e-12